X+y/2=1
-2+6/2=1
-2 + 3 =1 true
⇒ ( -2, 6) is the solution
Hello!
Vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.
Horizontal asymptotes are determined by:
1. If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.
2. If the degree of the numerator = degree of denominator, then y = leading coefficient of numerator / leading coefficient of denominator is the horizontal asymptote.
3. If degree of numerator > degree of denominator, then there is an oblique asymptote, but no horizontal asymptote.
To find the vertical asymptote:
2x² - 10 = 0
2(x² - 5) = 0
(x - √5)(x + √5) = 0
x = √5 and x = -√5
Graphing the equation, we realize that x = -√5 is not a vertical asymptote, so therefore, the only vertical asymptote is x = √5.
To find the horizontal asymptote:
If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.
Therefore, the horizontal asymptote of this function is y = 0.
Short answer: Vertical asymptote: x = √5 and horizontal asymptote: y = 0
Answer:
1) 2x^2 -8x
2) 18x^2 -45x
Step-by-step explanation:
These problems make use of the distributive property. It tells you how you can use or eliminate parentheses as you may need.
a(b + c) = ab + ac . . . . . . . the outside factor multiplies each inside term
Of course, the usual rules of multiplication of positive and negative numbers apply. If the number of minus signs in a product is odd, the result is negative; otherwise the result is positive.
1. 2x(x -4) = (2x)(x) + (2x)(-4) = 2x^2 -8x
2. -9x(5 -2x) = (-9x)(5) + (-9x)(-2x) = -45x +18x^2 = 18x^2 -45x
3. She used the algebra tiles correctly.
- The headers correctly represent -2x-2 and 2x-1
- Each product has the correct sign (-- = +, -+ or +- = -)
- Each product has the correct power of x
Answer:
18
Step-by-step explanation:
a = 2
b = 3
3x(2)x(3)=18